Answer:
2) a. radius of cone:
[tex] \frac{1}{3} \pi \: r {}^{2} h = 7.77[/tex]
[tex] \frac{1}{3} ( \frac{22}{7} )( {r}^{2} )(4) = 7.77[/tex]
[tex] \frac{88}{21} ( {r}^{2} ) = 7.77[/tex]
[tex] {r}^{2} = 7.77 \div \frac{88}{21} [/tex]
[tex] {r}^{2} = \frac{16317}{8800} [/tex]
[tex]r = \sqrt{ \frac{16317}{8800} } [/tex]
[tex]r = 1.36 \: ft[/tex]